Finding the Third Proportional to 201,186,047,715 and 408,283,845,114
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Solution
The third proportional to 201,186,047,715 and 408,283,845,114 is: 828,564,903,353.61
Step by Step Solution
- Step 1: Write the proportion equation
201,186,047,715 : 408,283,845,114 = 408,283,845,114 : x - Step 2: Convert to fraction form
201,186,047,715/408,283,845,114 = 408,283,845,114/x - Step 3: Cross multiply
201,186,047,715x = 408,283,845,114 × 408,283,845,114 - Step 4: Simplify right side
201,186,047,715x = 166,695,698,181,072,743,301,120 - Step 5: Solve for x
x = 166,695,698,181,072,743,301,120/201,186,047,715 - Step 6: Final answer
x = 828,564,903,353.61
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.